2x-1+3x+7=x-4+x-4

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Solution for 2x-1+3x+7=x-4+x-4 equation:


Simplifying
2x + -1 + 3x + 7 = x + -4 + x + -4

Reorder the terms:
-1 + 7 + 2x + 3x = x + -4 + x + -4

Combine like terms: -1 + 7 = 6
6 + 2x + 3x = x + -4 + x + -4

Combine like terms: 2x + 3x = 5x
6 + 5x = x + -4 + x + -4

Reorder the terms:
6 + 5x = -4 + -4 + x + x

Combine like terms: -4 + -4 = -8
6 + 5x = -8 + x + x

Combine like terms: x + x = 2x
6 + 5x = -8 + 2x

Solving
6 + 5x = -8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
6 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
6 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 3x = -8 + 0
6 + 3x = -8

Add '-6' to each side of the equation.
6 + -6 + 3x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -8 + -6
3x = -8 + -6

Combine like terms: -8 + -6 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667

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